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Find ∑{a1,…,ak}⊆{1,2,3,4,5}1a1⋯ak\displaystyle \sum_{\{a_{1}, \ldots, a_{k}\} \subseteq \{1, 2, 3, 4, 5\}} \frac{1}{a_{1} \cdots a_{k}}{a1,…,ak}⊆{1,2,3,4,5}∑a1⋯ak1, where the sum is over all nonempty subsets of of the set {1,2,3,4,5}\{1, 2, 3, 4, 5\}{1,2,3,4,5}.
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